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University proceedings. Volga region. Physical and mathematical sciences, 2012, Issue 4, Pages 3–11 (Mi ivpnz449)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Homotopy stable analog of a simplicial object

M. V. Ladoshkin

Mordovia State Pedagogical University named after M. E. Evsevyev, Saransk
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Abstract: The article considers the construction of homotopy steady analog of simplicial object. The author introduces a design of highest simplicial operators and proves a theorem of their existence on chain complex homologies. The proof of the existence theorem is constructive, which allows to build the received highest simplicial sets as homotopy steady analogs, that are simplicial on chain complex homologies.
Keywords: simplicial object, homology, homology stability, SDR-situation, the higher simplicial operators.
Document Type: Article
UDC: 512.662.1
Language: Russian
Citation: M. V. Ladoshkin, “Homotopy stable analog of a simplicial object”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 4, 3–11
Citation in format AMSBIB
\Bibitem{Lad12}
\by M.~V.~Ladoshkin
\paper Homotopy stable analog of a simplicial object
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2012
\issue 4
\pages 3--11
\mathnet{http://mi.mathnet.ru/ivpnz449}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		University proceedings. Volga region. Physical and mathematical sciences
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